triSurfVolume

Below is a demonstration of the features of the triSurfVolume function

Syntax
Description
Examples
Example 1: Volume of a sphere
Example 2: Volume of a beam

clear; close all; clc;

Syntax

[surfaceVolume]=triSurfVolume(F,V);

Description

UNDOCUMENTED

Examples

Example 1: Volume of a sphere

Creating meshed sphere, note that the discrete nature of the mesh causes the volume to deviate somewhat from the theoretical value.

r=3; %sphere radius
n=2; %Refinements
[F,V,~]=geoSphere(n,r);

Computing the volume

vol_theoretical=(4/3)*pi*r.^3 %Theoretical volume
vol_surf_est=triSurfVolume(F,V) %estimate based on triangulated surface

vol_theoretical =

  113.0973


vol_surf_est =

  109.2702

cFigure;
gpatch(F,V,'gw','k');
axisGeom; camlight headlight;
gdrawnow;

Example 2: Volume of a beam

Creating a meshed beam

% Specifying dimensions and number of elements for each direction
boxDim=[2 1 0.5]; %Width in each direction
pointSpacing=min(boxDim)/2; %Desired point spacing
[F,V,faceBoundaryMarker]=triBox(boxDim,pointSpacing); % Using |triBox| to build a triangulated cube

Computing the volume

vol_theoretical=prod(boxDim) %Theoretical volume
vol_surf_est=triSurfVolume(F,V) %estimate based on triangulated surface

vol_theoretical =

     1


vol_surf_est =

    1.0000

cFigure;
gpatch(F,V,'gw','k');
axisGeom; camlight headlight;
gdrawnow;

GIBBON www.gibboncode.org

Kevin Mattheus Moerman, [email protected]

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License: https://github.com/gibbonCode/GIBBON/blob/master/LICENSE

GIBBON: The Geometry and Image-based Bioengineering add-On. A toolbox for image segmentation, image-based modeling, meshing, and finite element analysis.

This program is free software: you can redistribute it and/or modify it under the terms of the GNU General Public License as published by the Free Software Foundation, either version 3 of the License, or (at your option) any later version.

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